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Numerical simulation of hydrodynamic characteristics and bedload transport in cross sections of two gravel-bed rivers based on one-dimensional lateral distribution method
Institution:1. Department of River Engineering and Disaster Management, Faculty of Hydrology and Water Resources, Thuyloi University, 175 Tay Son, Dong Da, Hanoi, Viet Nam;2. Unité de Modélisation Mathématiques et Informatique des Systèmes Complexes (UMMISCO), JEAI WARM, IRD, Sorbonne Université, F-93143 Bondy, France;3. Department of Civil and Environmental Engineering, Faculty of Engineering, National University of Singapore, Singapore;1. Industry-Academia Collaboration Foundation, Chonbuk National University, 567 Baejedae-ro, Deokjin-gu, Jeonju, 54896, Republic of Korea;2. Center for Jeongeup Industry-Academy Cooperation, Chonbuk National University, 9 Cheomdan-ro, Jeongeup, Jeonbuk, 56212, Republic of Korea;1. Department of Civil Engineering, Razi University, Kermanshah, Iran;2. Environmental Research Center, Razi University, Kermanshah, Iran;3. Department of Civil Engineering, Ya?ar University, Izmir, Turkey;4. School of Engineering, University of Guelph, Guelph, Ontario, NIG 2W1, Canada;5. Department of Water Engineering, Vali-e-Asr University of Rafsanjan, Rafsanjan, Iran;6. School of Civil Engineering, K. N. Toosi University of Technology, Tehran, Iran;7. Department of Water, and Environmental, Iran University of Science and Technology, Tehran, Iran;8. Department of Civil Engineering, Antalya Bilim University, Antalya, Turkey;9. Smart and Sustainable Township Research Center, Faculty of Engineering & Built Environment, Universiti Kebangsaan Malaysia, Bangi, Selangor, 43600 UKM, Malaysia;1. State Key Laboratory of Eco-hydraulics in Northwest Arid Region of China, School of Water Resources and Hydroelectric Engineering, Xi''an University of Technology, Xi''an University of Technology, Xi''an, 710048, China;2. China Institute of Water Resources and Hydropower Research, Beijing, 100038, China;3. State Key Laboratory of Water Resources and Hydropower Engineering Science, Wuhan University, Wuhan, 430072, China;1. State Key Laboratory of Hydrology-Water Resources and Hydraulic Engineering, Hohai University, Nanjing 210098, China;2. College of Water Conservancy and Hydropower Engineering, Hohai University, Nanjing 210098, China;3. Department of Civil and Environmental Engineering, University of Alberta, 9211 116 St NW, Edmonton, Alberta T6G 1H9, Canada;4. Zhejiang Qianjiang Science and Technology Development Company, Hangzhou 310000, Zhejiang, China;1. Department of Water Engineering, Faculty of Agriculture, Shahrekord University, Shahrekord, Iran;2. Agricultural Engineering Research Institute (AERI), Agricultural Research, Education and Extension Organization (AREEO), Karaj, Iran;3. Department of Water Engineering, College of Agriculture, Isfahan University of Technology, Isfahan, Iran;1. State Key Laboratory of Water Environmental Simulation, School of Environment, Beijing Normal University, Beijing, 100875, China;2. Ministry of Education Key Laboratory of Water and Sediment Science, School of Environment, Beijing Normal University, Beijing 100875, China;3. Renewable Energy School, North China Electric Power University, Beijing 102206, China
Abstract:Accurate evaluation and prediction of bedload transport are crucial in studies of fluvial hydrodynamic characteristics and river morphology.This paper presents a one-dimensional numerical model based on the one-dimensional lateral distribution method(1 D-LDM) and six classic bedload transport formulae that can be used to simulate hydrodynamic characteristics and bedload transport discharge in cross sections.Two gravel-bed rivers,i.e.the Danube River located approximately 70 km downstream from Bratislava in Slovakia and the Tolten River in south of Chile are used as examples.In the 1 D-LDM,gravity,bed shear stress,turbulent diffusion,and secondary flow are included to allow for accurate predictions of flow velocity and consequently bed shear stress in the cross sections.Six classic formulae were applied to evaluate the non-dimensional bedload transport rate,and the bedload transport discharge through a river cross section is obtained by integrating the bedload transport rate over the width of the cross section.The results show that the root mean square error(RMSE) and mean absolute error(MAE) of velocity and water discharge were less than 8% of the observed magnitude,while the correlation coefficient between model predictions and observations was close to unity.The formulae proposed by Ashida and Michiue(1972),in which particle collision with the bed is taken into account,and by Camenen and Larson(2005),which allows for yielding a non-zero bedload transport rate even when the bed shear stress is smaller than the critical bed shear stress value,appeared to be more appropriate for predicting the observed bedload transport rate in the studied cross sections of two gravel-bed rivers.If non-uniform sediment mixtures were considered,the bedload transport discharge through a cross-section could change considerably by up to 22.5% of the observed magnitude.The relations proposed by Ashida and Michiue(1972) and Egiazaroff(1965) for parameterizing the hiding factor yielded more realistic model predictions in comparison with observations for the measured data set collected for the Tolten River,while the one proposed by Wilcock and Crowe(2003) performs the best for the data set measured for the Danube River.
Keywords:Bedload  Gravel-bed river  One-dimensional lateral distribution method  Bedload transport discharge
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